Finding the Fourth Proportional to 542.25, 748.26 and 306.19
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Solution
The fourth proportional to 542.25, 748.26 and 306.19 is: 422.52
Step by Step Solution
- Step 1: Write the proportion equation
542.25 : 748.26 = 306.19 : x - Step 2: Convert to fraction form
542.25/748.26 = 306.19/x - Step 3: Cross multiply
542.25x = 748.26 × 306.19 - Step 4: Simplify right side
542.25x = 229,110.49 - Step 5: Solve for x
x = 229,110.49/542.25 - Step 6: Final answer
x = 422.52
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.